Pseudovarieties defining classes of sofic subshifts closed under taking shift equivalent subshifts
Autor(a) principal: | |
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Data de Publicação: | 2007 |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10316/4605 https://doi.org/10.1016/j.jpaa.2006.06.016 |
Resumo: | For a pseudovariety of ordered semigroups, let be the class of sofic subshifts whose syntactic semigroup lies in . It is proved that if contains then is closed under taking shift equivalent subshifts, and conversely, if is closed under taking conjugate subshifts then contains and . Almost finite type subshifts are characterized as the irreducible elements of , which gives a new proof that the class of almost finite type subshifts is closed under taking shift equivalent subshifts. |
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Pseudovarieties defining classes of sofic subshifts closed under taking shift equivalent subshiftsFor a pseudovariety of ordered semigroups, let be the class of sofic subshifts whose syntactic semigroup lies in . It is proved that if contains then is closed under taking shift equivalent subshifts, and conversely, if is closed under taking conjugate subshifts then contains and . Almost finite type subshifts are characterized as the irreducible elements of , which gives a new proof that the class of almost finite type subshifts is closed under taking shift equivalent subshifts.http://www.sciencedirect.com/science/article/B6V0K-4KNKH45-2/1/eb50d11357c8404e35ea3525dab4e06b2007info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleaplication/PDFhttp://hdl.handle.net/10316/4605http://hdl.handle.net/10316/4605https://doi.org/10.1016/j.jpaa.2006.06.016engJournal of Pure and Applied Algebra. 209:2 (2007) 517-530Costa, Alfredoinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2020-11-06T16:49:11Zoai:estudogeral.uc.pt:10316/4605Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:00:41.421708Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
Pseudovarieties defining classes of sofic subshifts closed under taking shift equivalent subshifts |
title |
Pseudovarieties defining classes of sofic subshifts closed under taking shift equivalent subshifts |
spellingShingle |
Pseudovarieties defining classes of sofic subshifts closed under taking shift equivalent subshifts Costa, Alfredo |
title_short |
Pseudovarieties defining classes of sofic subshifts closed under taking shift equivalent subshifts |
title_full |
Pseudovarieties defining classes of sofic subshifts closed under taking shift equivalent subshifts |
title_fullStr |
Pseudovarieties defining classes of sofic subshifts closed under taking shift equivalent subshifts |
title_full_unstemmed |
Pseudovarieties defining classes of sofic subshifts closed under taking shift equivalent subshifts |
title_sort |
Pseudovarieties defining classes of sofic subshifts closed under taking shift equivalent subshifts |
author |
Costa, Alfredo |
author_facet |
Costa, Alfredo |
author_role |
author |
dc.contributor.author.fl_str_mv |
Costa, Alfredo |
description |
For a pseudovariety of ordered semigroups, let be the class of sofic subshifts whose syntactic semigroup lies in . It is proved that if contains then is closed under taking shift equivalent subshifts, and conversely, if is closed under taking conjugate subshifts then contains and . Almost finite type subshifts are characterized as the irreducible elements of , which gives a new proof that the class of almost finite type subshifts is closed under taking shift equivalent subshifts. |
publishDate |
2007 |
dc.date.none.fl_str_mv |
2007 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10316/4605 http://hdl.handle.net/10316/4605 https://doi.org/10.1016/j.jpaa.2006.06.016 |
url |
http://hdl.handle.net/10316/4605 https://doi.org/10.1016/j.jpaa.2006.06.016 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Journal of Pure and Applied Algebra. 209:2 (2007) 517-530 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
aplication/PDF |
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reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
institution |
RCAAP |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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1799133897131294720 |